I thought about that, and I'm willing to allow certain deities. The few I won't allow are the gods/prophets/god-like beings from the Abraham Religions (Christianity, Islam, Judaism). If you take Kali, for example (third form of Vishnu, and the aspect of Destruction and Death), then I'd say okay because she's, well, a "physical" god, whereas the God of the Abraham religions are more metaphysical.